GCD of 363, 205, 36, 962 Calculator

Given Input numbers are 363, 205, 36, 962

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 363

List of positive integer divisors of 363 that divides 363 without a remainder.

1, 3, 11, 33, 121, 363

Divisors of 205

List of positive integer divisors of 205 that divides 205 without a remainder.

1, 5, 41, 205

Divisors of 36

List of positive integer divisors of 36 that divides 36 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36

Divisors of 962

List of positive integer divisors of 962 that divides 962 without a remainder.

1, 2, 13, 26, 37, 74, 481, 962

Greatest Common Divisior

We found the divisors of 363, 205, 36, 962 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 363, 205, 36, 962 is 1.

Therefore, GCD of numbers 363, 205, 36, 962 is 1

Given Input Data is 363, 205, 36, 962

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 363 is 3 x 11 x 11

Prime Factorization of 205 is 5 x 41

Prime Factorization of 36 is 2 x 2 x 3 x 3

Prime Factorization of 962 is 2 x 13 x 37

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(363, 205) = 74415

GCD(363, 205) = ( 363 x 205 ) / 74415

GCD(363, 205) = 74415 / 74415

GCD(363, 205) = 1

Step2:

Here we consider the GCD from the above i.e. 1 as first number and the next as 36

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 36) = 36

GCD(1, 36) = ( 1 x 36 ) / 36

GCD(1, 36) = 36 / 36

GCD(1, 36) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 962

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 962) = 962

GCD(1, 962) = ( 1 x 962 ) / 962

GCD(1, 962) = 962 / 962

GCD(1, 962) = 1

GCD of 363, 205, 36, 962 is 1

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1. What is the GCD of 363, 205, 36, 962?

GCD of 363, 205, 36, 962 is 1

2. Where do I get the detailed procedure to find GCD of 363, 205, 36, 962?

You can find a detailed procedure to find GCD of 363, 205, 36, 962 on our page.

3. How to find GCD of 363, 205, 36, 962 on a calculator?

You can find the GCD of 363, 205, 36, 962 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.